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Materials Data on V(NiP4)4 by Materials Project

V(NiP4)4 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. V2+ is bonded in a 8-coordinate geometry to eight P+0.50- atoms. There are a spread of V–P bond distances ranging from 2.41–2.49 Å. There are two inequivalent Ni+1.50+ sites. In the first Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with six NiP6 octahedra, corners with four PNi3P tetrahedra, and an edgeedge with one NiP6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Ni–P bond distances ranging from 2.23–2.36 Å. In the second Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with four equivalent NiP6 octahedra and corners with three PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Ni–P bond distances ranging from 2.25–2.32 Å. There are eight inequivalent P+0.50- sites. In the first P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one V2+, one Ni+1.50+, and two P+0.50- atoms. There are one shorter (2.24 Å) and one longer (2.26 Å) P–P bond lengths. In the second P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with nine PNi3P tetrahedra. The corner-sharing octahedral tilt angles are 73°. The P–P bond length is 2.24 Å. In the third P+0.50- site, P+0.50- is bonded to three Ni+1.50+ and one P+0.50- atom to form distorted PNi3P tetrahedra that share corners with two equivalent NiP6 octahedra, corners with ten PNi2P2 tetrahedra, and an edgeedge with one PNi3P tetrahedra. The corner-sharing octahedra tilt angles range from 73–77°. The P–P bond length is 2.21 Å. In the fourth P+0.50- site, P+0.50- is bonded to two equivalent Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra and corners with twelve PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 70–82°. The P–P bond length is 2.27 Å. In the fifth P+0.50- site, P+0.50- is bonded in a 2-coordinate geometry to one V2+, one Ni+1.50+, and two P+0.50- atoms. The P–P bond length is 2.26 Å. In the sixth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one V2+ and three P+0.50- atoms. The P–P bond length is 2.26 Å. In the seventh P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with nine PNi2P2 tetrahedra. The corner-sharing octahedral tilt angles are 73°. The P–P bond length is 2.24 Å. In the eighth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one V2+, one Ni+1.50+, and two P+0.50- atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb(NiP4)4 by Materials Project

Nb(NiP4)4 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Nb2+ is bonded in a 8-coordinate geometry to eight P+0.50- atoms. There are a spread of Nb–P bond distances ranging from 2.53–2.59 Å. There are two inequivalent Ni+1.50+ sites. In the first Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with six NiP6 octahedra, corners with ten PNbNiP2 tetrahedra, and an edgeedge with one NiP6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Ni–P bond distances ranging from 2.23–2.39 Å. In the second Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with four equivalent NiP6 octahedra and corners with nine PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Ni–P bond distances ranging from 2.27–2.33 Å. There are eight inequivalent P+0.50- sites. In the first P+0.50- site, P+0.50- is bonded to one Nb2+, one Ni+1.50+, and two P+0.50- atoms to form distorted PNbNiP2 tetrahedra that share corners with three NiP6 octahedra, corners with nine PNbNiP2 tetrahedra, and an edgeedge with one PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 67–74°. There are one shorter (2.24 Å) and one longer (2.25 Å) P–P bond lengths. In the second P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with eleven PNbNiP2 tetrahedra. The corner-sharing octahedral tilt angles are 71°. The P–P bond length is 2.25 Å. In the third P+0.50- site, P+0.50- is bonded to three Ni+1.50+ and one P+0.50- atom to form distorted PNi3P tetrahedra that share corners with two equivalent NiP6 octahedra, corners with thirteen PNbNiP2 tetrahedra, and an edgeedge with one PNi3P tetrahedra. The corner-sharing octahedra tilt angles range from 73–76°. The P–P bond length is 2.21 Å. In the fourth P+0.50- site, P+0.50- is bonded to two equivalent Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra and corners with twelve PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 70–83°. The P–P bond length is 2.25 Å. In the fifth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one Nb2+, one Ni+1.50+, and two P+0.50- atoms. The P–P bond length is 2.25 Å. In the sixth P+0.50- site, P+0.50- is bonded to one Nb2+ and three P+0.50- atoms to form distorted PNbP3 tetrahedra that share corners with six NiP6 octahedra and corners with eight PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 58–76°. The P–P bond length is 2.25 Å. In the seventh P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with eleven PNbNiP2 tetrahedra. The corner-sharing octahedral tilt angles are 71°. The P–P bond length is 2.24 Å. In the eighth P+0.50- site, P+0.50- is bonded to one Nb2+, one Ni+1.50+, and two P+0.50- atoms to form distorted PNbNiP2 tetrahedra that share corners with three NiP6 octahedra, corners with nine PNbNiP2 tetrahedra, and an edgeedge with one PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 66–75°.

36 MATERIALS SCIENCE↗

Materials Data on NiP4 by Materials Project

NiP4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with fourteen PNi2P2 tetrahedra and edges with two equivalent NiP6 octahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.34 Å. In the second Ni2+ site, Ni2+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with two equivalent NiP6 octahedra, corners with fourteen PNi2P2 tetrahedra, and an edgeedge with one NiP6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Ni–P bond distances ranging from 2.25–2.41 Å. There are six inequivalent P+0.50- sites. In the first P+0.50- site, P+0.50- is bonded to two equivalent Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with two NiP6 octahedra and corners with fourteen PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are one shorter (2.24 Å) and one longer (2.27 Å) P–P bond lengths. In the second P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with eleven PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are one shorter (2.20 Å) and one longer (2.21 Å) P–P bond lengths. In the third P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four equivalent NiP6 octahedra and corners with ten PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 42–79°. There are one shorter (2.27 Å) and one longer (2.28 Å) P–P bond lengths. In the fourth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with eleven PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 65–73°. The P–P bond length is 2.21 Å. In the fifth P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with ten PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–66°. The P–P bond length is 2.30 Å. In the sixth P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with five NiP6 octahedra and corners with nine PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 61–78°.

36 MATERIALS SCIENCE↗

Materials Data on NiP4 by Materials Project

NiP4 is Sylvanite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with twelve PNiP3 tetrahedra and edges with two NiP6 octahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.43 Å. In the second Ni2+ site, Ni2+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with twelve PNiP3 tetrahedra and edges with two NiP6 octahedra. There are a spread of Ni–P bond distances ranging from 2.25–2.37 Å. In the third Ni2+ site, Ni2+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with twelve PNi2P2 tetrahedra and edges with two NiP6 octahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.43 Å. In the fourth Ni2+ site, Ni2+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with twelve PNi2P2 tetrahedra and edges with two NiP6 octahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.37 Å. There are sixteen inequivalent P+0.50- sites. In the first P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with nine PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 56–66°. Both P–P bond lengths are 2.24 Å. In the second P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with eight PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–74°. There are a spread of P–P bond distances ranging from 2.23–2.26 Å. In the third P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with nine PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 60–65°. There are one shorter (2.22 Å) and one longer (2.30 Å) P–P bond lengths. In the fourth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with ten PNiP3 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 49–67°. There are one shorter (2.22 Å) and one longer (2.25 Å) P–P bond lengths. In the fifth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with eight PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 49–67°. There are one shorter (2.22 Å) and one longer (2.25 Å) P–P bond lengths. In the sixth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one Ni2+ and three P+0.50- atoms. There are a spread of P–P bond distances ranging from 2.23–2.30 Å. In the seventh P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with ten PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 56–66°. The P–P bond length is 2.24 Å. In the eighth P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with ten PNiP3 tetrahedra. The corner-sharing octahedra tilt angles range from 54–73°. The P–P bond length is 2.24 Å. In the ninth P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with eight PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 55–74°. There are one shorter (2.23 Å) and one longer (2.26 Å) P–P bond lengths. In the tenth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with nine PNiP3 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. The P–P bond length is 2.24 Å. In the eleventh P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with nine PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 60–65°. In the twelfth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with ten PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 49–67°. In the thirteenth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with eight PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 49–68°. In the fourteenth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one Ni2+ and three P+0.50- atoms. The P–P bond length is 2.26 Å. In the fifteenth P+0.50- site, P+0.50- is bonded to one Ni2+ and three P+0.50- atoms to form distorted PNiP3 tetrahedra that share corners with four NiP6 octahedra and corners with ten PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–73°. In the sixteenth P+0.50- site, P+0.50- is bonded to two Ni2+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra, corners with ten PNi2P2 tetrahedra, and an edgeedge with one PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 56–67°.

36 MATERIALS SCIENCE↗

Materials Data on Nd3Ni7P5 by Materials Project

Nd3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Nd+2.67+ sites. In the first Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.99–3.03 Å. In the second Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with six NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are four shorter (2.99 Å) and two longer (3.03 Å) Nd–P bond lengths. In the third Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with six NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are four shorter (2.99 Å) and two longer (3.04 Å) Nd–P bond lengths. In the fourth Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with eight NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.98–3.04 Å. In the fifth Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with eight NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are four shorter (2.99 Å) and two longer (3.04 Å) Nd–P bond lengths. In the sixth Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with eight NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.99–3.03 Å. In the seventh Nd+2.67+ site, Nd+2.67+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of Nd–P bond distances ranging from 2.93–3.04 Å. In the eighth Nd+2.67+ site, Nd+2.67+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of Nd–P bond distances ranging from 2.93–3.03 Å. In the ninth Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four NdP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.97–3.03 Å. In the tenth Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four NdP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.97–3.03 Å. In the eleventh Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four NdP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are two shorter (3.01 Å) and four longer (3.03 Å) Nd–P bond lengths. In the twelfth Nd+2.67+ site, Nd+2.67+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four NdP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are two shorter (3.00 Å) and four longer (3.03 Å) Nd–P bond lengths. There are twenty-eight inequivalent Ni1+ sites. In the first Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.39 Å. In the second Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.34–2.39 Å. In the third Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.35–2.37 Å. In the fourth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the fifth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.34 Å) and one longer (2.38 Å) Ni–P bond lengths. In the sixth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with two NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.32 Å) and one longer (2.35 Å) Ni–P bond lengths. In the seventh Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two equivalent NdP6 pentagonal pyramids, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the eighth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two equivalent NdP6 pentagonal pyramids, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.36 Å. In the ninth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.41 Å. In the tenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.42 Å. In the eleventh Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one NdP6 pentagonal pyramid, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.37 Å. In the twelfth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one NdP6 pentagonal pyramid, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.39 Å. In the thirteenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are two shorter (2.31 Å) and two longer (2.34 Å) Ni–P bond lengths. In the fourteenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the fifteenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with eight NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.32 Å) and one longer (2.36 Å) Ni–P bond lengths. In the sixteenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.32 Å) and one longer (2.36 Å) Ni–P bond lengths. In the seventeenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.32 Å) and one longer (2.36 Å) Ni–P bond lengths. In the eighteenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the nineteenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.28 Å) and one longer (2.31 Å) Ni–P bond lengths. In the twentieth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.28 Å) and one longer (2.31 Å) Ni–P bond lengths. In the twenty-first Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.27 Å) and one longer (2.30 Å) Ni–P bond lengths. In the twenty-second Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.27–2.30 Å. In the twenty-third Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.27–2.32 Å. In the twenty-fourth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.27 Å) and one longer (2.31 Å) Ni–P bond lengths. In the twenty-fifth Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.16 Å) and two longer (2.38 Å) Ni–P bond lengths. In the twenty-sixth Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.18 Å) and two longer (2.35 Å) Ni–P bond lengths. In the twenty-seventh Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.15 Å) and two longer (2.37 Å) Ni–P bond lengths. In the twenty-eighth Ni1+ si

36 MATERIALS SCIENCE↗

Materials Data on La3Ni7P5 by Materials Project

La3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent La+2.67+ sites. In the first La+2.67+ site, La+2.67+ is bonded in a 6-coordinate geometry to six P3- atoms. There are two shorter (2.96 Å) and four longer (3.06 Å) La–P bond lengths. In the second La+2.67+ site, La+2.67+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of La–P bond distances ranging from 2.97–3.07 Å. In the third La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with four LaP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with two LaP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.01–3.06 Å. In the fourth La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with four LaP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with two LaP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.01–3.05 Å. In the fifth La+2.67+ site, La+2.67+ is bonded in a 6-coordinate geometry to six P3- atoms. There are two shorter (3.05 Å) and four longer (3.06 Å) La–P bond lengths. In the sixth La+2.67+ site, La+2.67+ is bonded in a 6-coordinate geometry to six P3- atoms. There are four shorter (3.05 Å) and two longer (3.06 Å) La–P bond lengths. In the seventh La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with four LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two LaP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.02–3.06 Å. In the eighth La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with six LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.01–3.06 Å. In the ninth La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with six LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.02–3.06 Å. In the tenth La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with six LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.03–3.06 Å. In the eleventh La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with four LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two LaP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.02–3.07 Å. In the twelfth La+2.67+ site, La+2.67+ is bonded to six P3- atoms to form distorted LaP6 pentagonal pyramids that share corners with six LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent LaP6 pentagonal pyramids. There are a spread of La–P bond distances ranging from 3.03–3.06 Å. There are twenty-eight inequivalent Ni1+ sites. In the first Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the second Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the third Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the fourth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the fifth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the sixth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.34 Å. In the seventh Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.39 Å. In the eighth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two equivalent LaP6 pentagonal pyramids, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.38 Å. In the ninth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LaP6 pentagonal pyramid, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.42 Å. In the tenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.43 Å. In the eleventh Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.37 Å. In the twelfth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LaP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.40 Å. In the thirteenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.31–2.34 Å. In the fourteenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.31 Å) and one longer (2.35 Å) Ni–P bond lengths. In the fifteenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.31 Å) and one longer (2.35 Å) Ni–P bond lengths. In the sixteenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.31 Å) and one longer (2.34 Å) Ni–P bond lengths. In the seventeenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.30 Å) and one longer (2.35 Å) Ni–P bond lengths. In the eighteenth Ni1+ site, Ni1+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.35 Å. In the nineteenth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one LaP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are three shorter (2.33 Å) and one longer (2.42 Å) Ni–P bond lengths. In the twentieth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one LaP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.41 Å. In the twenty-first Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with four LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.34 Å) and one longer (2.39 Å) Ni–P bond lengths. In the twenty-second Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with two LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-third Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three LaP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.34 Å) and one longer (2.38 Å) Ni–P bond lengths. In the twenty-fourth Ni1+ site, Ni1+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LaP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one LaP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-fifth Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.16 Å) and two longer (2.40 Å) Ni–P bond lengths. In the twenty-sixth Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.18 Å) and two longer (2.36 Å) Ni–P bond lengths. In the twenty-seventh Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.15 Å) and two longer (2.37 Å) Ni–P bond lengths. In the twenty-eighth Ni1+ site, Ni1+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.17 Å) and two longer (2.32 Å) Ni–P bond lengths. There are twenty inequivalent P3- sites. In the first P3- site, P3- is bonded in a 3-coordinate geometry to six La+2.67+ and three Ni1+ atoms. In the second P3- site, P3- is bonded in a 3-coordinate geometry to six La+2.67+ and three Ni1+ atoms. In the third P3- site, P3- is bonded in a 9-coordinate geometry to four La+2.67+ and five Ni1+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four La+2.67+ and five Ni1+ at

36 MATERIALS SCIENCE↗

Materials Data on LiNi3P2 by Materials Project

LiNi3P2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with three LiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with twelve NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.71–2.84 Å. In the second Li1+ site, Li1+ is bonded to five P3- atoms to form LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.45–2.54 Å. In the third Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.44–2.55 Å. In the fourth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with four LiP5 square pyramids, corners with twelve NiP4 tetrahedra, an edgeedge with one LiP5 square pyramid, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.70–2.75 Å. In the fifth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two equivalent LiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two LiP5 square pyramids, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.72–2.78 Å. In the sixth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two NiP5 square pyramids, corners with three LiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with twelve NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.72–2.84 Å. In the seventh Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with two equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.45–2.56 Å. In the eighth Li1+ site, Li1+ is bonded to five P3- atoms to form LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with two equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.45–2.55 Å. In the ninth Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, edges with two equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.41–2.55 Å. In the tenth Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two equivalent LiP5 square pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, an edgeedge with one NiP5 square pyramid, edges with two LiP5 square pyramids, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.72–2.76 Å. In the eleventh Li1+ site, Li1+ is bonded to six P3- atoms to form distorted LiP6 pentagonal pyramids that share corners with two equivalent NiP5 square pyramids, corners with four LiP5 square pyramids, corners with twelve NiP4 tetrahedra, an edgeedge with one LiP5 square pyramid, an edgeedge with one NiP5 square pyramid, edges with nine NiP4 tetrahedra, and faces with two equivalent LiP6 pentagonal pyramids. There are a spread of Li–P bond distances ranging from 2.71–2.76 Å. In the twelfth Li1+ site, Li1+ is bonded to five P3- atoms to form distorted LiP5 square pyramids that share corners with four LiP6 pentagonal pyramids, corners with two equivalent LiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one LiP5 square pyramid, edges with two equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Li–P bond distances ranging from 2.42–2.55 Å. There are thirty inequivalent Ni+1.67+ sites. In the first Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, a cornercorner with one NiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.22–2.30 Å. In the second Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with three LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.24–2.29 Å. In the third Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.18–2.29 Å. In the fourth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, a cornercorner with one NiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.22–2.27 Å. In the fifth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with three LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.23–2.29 Å. In the sixth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are one shorter (2.18 Å) and three longer (2.29 Å) Ni–P bond lengths. In the seventh Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.23–2.29 Å. In the eighth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.29 Å. In the ninth Ni+1.67+ site, Ni+1.67+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.33–2.75 Å. In the tenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.21–2.28 Å. In the eleventh Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with three NiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.29 Å. In the twelfth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, corners with four LiP5 square pyramids, corners with ten NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are one shorter (2.20 Å) and three longer (2.28 Å) Ni–P bond lengths. In the thirteenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedra, an edgeedge with one LiP6 pentagonal pyramid, an edgeedge with one NiP5 square pyramid, edges with two LiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.21–2.29 Å. In the fourteenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with twelve NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with three NiP4 tetrahedra. There are two shorter (2.20 Å) and two longer (2.34 Å) Ni–P bond lengths. In the fifteenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with twelve NiP4 tetrahedra, edges with three LiP6 pentagonal pyramids, an edgeedge with one LiP5 square pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.34 Å. In the sixteenth Ni+1.67+ site, Ni+1.67+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.32–2.72 Å. In the seventeenth Ni+1.67+ site, Ni+1.67+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four LiP6 pentagonal pyramids, a cornercorner with one LiP5 square pyramid, corners with ten NiP4 tetrahedr

36 MATERIALS SCIENCE↗

Materials Data on Sm3Ni7P5 by Materials Project

Sm3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Sm2+ sites. In the first Sm2+ site, Sm2+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of Sm–P bond distances ranging from 2.90–3.01 Å. In the second Sm2+ site, Sm2+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of Sm–P bond distances ranging from 2.90–3.01 Å. In the third Sm2+ site, Sm2+ is bonded in a 6-coordinate geometry to six P3- atoms. There are two shorter (2.94 Å) and four longer (2.99 Å) Sm–P bond lengths. In the fourth Sm2+ site, Sm2+ is bonded in a 6-coordinate geometry to six P3- atoms. There are a spread of Sm–P bond distances ranging from 2.93–2.99 Å. In the fifth Sm2+ site, Sm2+ is bonded in a 6-coordinate geometry to six P3- atoms. There are two shorter (2.98 Å) and four longer (3.00 Å) Sm–P bond lengths. In the sixth Sm2+ site, Sm2+ is bonded in a 6-coordinate geometry to six P3- atoms. There are two shorter (2.97 Å) and four longer (3.00 Å) Sm–P bond lengths. In the seventh Sm2+ site, Sm2+ is bonded to six P3- atoms to form distorted SmP6 pentagonal pyramids that share corners with four SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two SmP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent SmP6 pentagonal pyramids. There are four shorter (2.96 Å) and two longer (3.00 Å) Sm–P bond lengths. In the eighth Sm2+ site, Sm2+ is bonded to six P3- atoms to form distorted SmP6 pentagonal pyramids that share corners with four SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two SmP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent SmP6 pentagonal pyramids. There are four shorter (2.95 Å) and two longer (3.00 Å) Sm–P bond lengths. In the ninth Sm2+ site, Sm2+ is bonded to six P3- atoms to form distorted SmP6 pentagonal pyramids that share corners with four SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two SmP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent SmP6 pentagonal pyramids. There are a spread of Sm–P bond distances ranging from 2.95–3.01 Å. In the tenth Sm2+ site, Sm2+ is bonded to six P3- atoms to form distorted SmP6 pentagonal pyramids that share corners with four SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two SmP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent SmP6 pentagonal pyramids. There are a spread of Sm–P bond distances ranging from 2.95–3.01 Å. In the eleventh Sm2+ site, Sm2+ is bonded to six P3- atoms to form distorted SmP6 pentagonal pyramids that share corners with four SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two SmP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent SmP6 pentagonal pyramids. There are a spread of Sm–P bond distances ranging from 2.94–3.01 Å. In the twelfth Sm2+ site, Sm2+ is bonded to six P3- atoms to form distorted SmP6 pentagonal pyramids that share corners with four SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two SmP6 pentagonal pyramids, edges with four NiP4 tetrahedra, and faces with two equivalent SmP6 pentagonal pyramids. There are four shorter (2.96 Å) and two longer (3.01 Å) Sm–P bond lengths. There are twenty-eight inequivalent Ni+1.29+ sites. In the first Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three SmP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.33 Å. In the second Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three SmP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.30 Å) and one longer (2.33 Å) Ni–P bond lengths. In the third Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three SmP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.34 Å. In the fourth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three SmP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.34 Å. In the fifth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three SmP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.35 Å. In the sixth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with three SmP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the seventh Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.34 Å. In the eighth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.34 Å. In the ninth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.39 Å. In the tenth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.41 Å. In the eleventh Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.35 Å. In the twelfth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent SmP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, and edges with two equivalent NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.37 Å. In the thirteenth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.25 Å) and one longer (2.27 Å) Ni–P bond lengths. In the fourteenth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.25 Å) and one longer (2.28 Å) Ni–P bond lengths. In the fifteenth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal planar geometry to three P3- atoms. There are two shorter (2.25 Å) and one longer (2.27 Å) Ni–P bond lengths. In the sixteenth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.24–2.27 Å. In the seventeenth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.24–2.28 Å. In the eighteenth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal planar geometry to three P3- atoms. There are a spread of Ni–P bond distances ranging from 2.24–2.28 Å. In the nineteenth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one SmP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.37 Å. In the twentieth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one SmP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.38 Å. In the twenty-first Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one SmP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.36 Å. In the twenty-second Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one SmP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-third Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one SmP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.36 Å. In the twenty-fourth Ni+1.29+ site, Ni+1.29+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four SmP6 pentagonal pyramids, corners with four NiP4 tetrahedra, an edgeedge with one SmP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are three shorter (2.31 Å) and one longer (2.35 Å) Ni–P bond lengths. In the twenty-fifth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.17 Å) and two longer (2.38 Å) Ni–P bond lengths. In the twenty-sixth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.18 Å) and two longer (2.35 Å) Ni–P bond lengths. In the twenty-seventh Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.16 Å) and two longer (2.36 Å) Ni–P bond lengths. In the twenty-eighth Ni+1.29+ site, Ni+1.29+ is bonded in a trigonal non-coplanar geometry to three P3- atoms. There are one shorter (2.17 Å) and two longer (2.32 Å) Ni–P bond lengths. There are twenty inequivalent P3- sites. In the first P3- site, P3- is bonded in a 3-coordinate geometry to six Sm2+ and three Ni+1.29+ atoms. In the second P3- site, P3- is bonded in a 3-coordinate geometry to six Sm2+ and three Ni+1.29+ atoms. In the third P3- site, P3- is bonded in a 9-coordinate geometry to four Sm2+ and five Ni+1.29+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four Sm2+ and five Ni+1.29+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to four Sm2+ and five Ni+1.29+ atoms. In the sixth P3- site, P3- is bonded in a 9-coordinate geometry to four Sm2+ and five Ni+1.29+ atoms. In the seventh P3- site, P3- is bonded in a 9-coordinate geometry to four Sm2+ and five Ni+1.29+ atoms. In the eighth P3- site, P3- is bonded in a 9-coordinate geometry to four Sm2+ and fi

36 MATERIALS SCIENCE↗

Materials Data on NbNi3P2 by Materials Project

NbNi3P2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Nb2+ sites. In the first Nb2+ site, Nb2+ is bonded to five P3- atoms to form distorted NbP5 trigonal bipyramids that share a cornercorner with one NbP5 square pyramid, corners with three equivalent NiP5 square pyramids, corners with six NiP4 tetrahedra, corners with two equivalent NiP5 trigonal bipyramids, corners with four equivalent NbP5 trigonal bipyramids, an edgeedge with one NiP5 square pyramid, edges with six NiP4 tetrahedra, an edgeedge with one NiP5 trigonal bipyramid, and edges with four NbP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.51–2.58 Å. In the second Nb2+ site, Nb2+ is bonded to five P3- atoms to form distorted NbP5 square pyramids that share corners with three equivalent NiP5 square pyramids, corners with six NiP4 tetrahedra, a cornercorner with one NbP5 trigonal bipyramid, corners with six NiP5 trigonal bipyramids, an edgeedge with one NiP5 square pyramid, edges with two equivalent NbP5 square pyramids, edges with six NiP4 tetrahedra, and edges with three NiP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.50–2.57 Å. In the third Nb2+ site, Nb2+ is bonded to five P3- atoms to form distorted NbP5 trigonal bipyramids that share corners with two equivalent NiP5 square pyramids, corners with six NiP4 tetrahedra, corners with four equivalent NbP5 trigonal bipyramids, corners with four NiP5 trigonal bipyramids, an edgeedge with one NiP5 square pyramid, edges with six NiP4 tetrahedra, an edgeedge with one NiP5 trigonal bipyramid, and edges with four NbP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.51–2.58 Å. There are nine inequivalent Ni+1.33+ sites. In the first Ni+1.33+ site, Ni+1.33+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NbP5 square pyramids, corners with ten NiP4 tetrahedra, corners with two equivalent NbP5 trigonal bipyramids, corners with two equivalent NiP5 trigonal bipyramids, edges with two NiP4 tetrahedra, edges with two equivalent NbP5 trigonal bipyramids, and edges with four NiP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.16–2.37 Å. In the second Ni+1.33+ site, Ni+1.33+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, corners with two equivalent NbP5 trigonal bipyramids, corners with two equivalent NiP5 trigonal bipyramids, edges with two equivalent NbP5 square pyramids, edges with two equivalent NiP5 square pyramids, edges with two NiP4 tetrahedra, and edges with two equivalent NbP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.24–2.40 Å. In the third Ni+1.33+ site, Ni+1.33+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NbP5 square pyramids, corners with ten NiP4 tetrahedra, corners with two equivalent NbP5 trigonal bipyramids, corners with two equivalent NiP5 trigonal bipyramids, edges with two equivalent NbP5 square pyramids, edges with two equivalent NiP5 square pyramids, edges with two NiP4 tetrahedra, and edges with two equivalent NiP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.15–2.34 Å. In the fourth Ni+1.33+ site, Ni+1.33+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, corners with two equivalent NbP5 trigonal bipyramids, corners with two equivalent NiP5 trigonal bipyramids, edges with two NiP4 tetrahedra, edges with two equivalent NiP5 trigonal bipyramids, and edges with four NbP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.22–2.43 Å. In the fifth Ni+1.33+ site, Ni+1.33+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, corners with two equivalent NbP5 trigonal bipyramids, corners with two equivalent NiP5 trigonal bipyramids, edges with two equivalent NbP5 square pyramids, edges with two NiP4 tetrahedra, and edges with four NiP5 trigonal bipyramids. There are three shorter (2.29 Å) and one longer (2.32 Å) Ni–P bond lengths. In the sixth Ni+1.33+ site, Ni+1.33+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent NbP5 square pyramids, corners with ten NiP4 tetrahedra, corners with two equivalent NbP5 trigonal bipyramids, corners with two equivalent NiP5 trigonal bipyramids, edges with two equivalent NiP5 square pyramids, edges with two NiP4 tetrahedra, and edges with four NbP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.21–2.47 Å. In the seventh Ni+1.33+ site, Ni+1.33+ is bonded to five P3- atoms to form distorted NiP5 trigonal bipyramids that share corners with two equivalent NbP5 square pyramids, corners with six NiP4 tetrahedra, corners with three equivalent NiP5 trigonal bipyramids, corners with five NbP5 trigonal bipyramids, an edgeedge with one NbP5 square pyramid, edges with six NiP4 tetrahedra, edges with two NbP5 trigonal bipyramids, and edges with three NiP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.34–2.53 Å. In the eighth Ni+1.33+ site, Ni+1.33+ is bonded to five P3- atoms to form distorted NiP5 square pyramids that share corners with three equivalent NbP5 square pyramids, corners with six NiP4 tetrahedra, corners with two equivalent NiP5 trigonal bipyramids, corners with five NbP5 trigonal bipyramids, an edgeedge with one NbP5 square pyramid, edges with two equivalent NiP5 square pyramids, edges with six NiP4 tetrahedra, an edgeedge with one NiP5 trigonal bipyramid, and edges with two NbP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.32–2.55 Å. In the ninth Ni+1.33+ site, Ni+1.33+ is bonded to five P3- atoms to form distorted NiP5 trigonal bipyramids that share corners with two equivalent NiP5 square pyramids, corners with four equivalent NbP5 square pyramids, corners with six NiP4 tetrahedra, a cornercorner with one NbP5 trigonal bipyramid, corners with three equivalent NiP5 trigonal bipyramids, an edgeedge with one NiP5 square pyramid, edges with two equivalent NbP5 square pyramids, edges with six NiP4 tetrahedra, and edges with three NiP5 trigonal bipyramids. There are a spread of Ni–P bond distances ranging from 2.35–2.54 Å. There are six inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Nb2+ and seven Ni+1.33+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to four Nb2+ and five Ni+1.33+ atoms. In the third P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Nb2+ and seven Ni+1.33+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four Nb2+ and five Ni+1.33+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to one Nb2+ and eight Ni+1.33+ atoms. In the sixth P3- site, P3- is bonded in a 9-coordinate geometry to two Nb2+ and seven Ni+1.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb5Ni19P12 by Materials Project

Yb5Ni19P12 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Yb2+ sites. In the first Yb2+ site, Yb2+ is bonded to six P3- atoms to form YbP6 octahedra that share corners with eight YbP6 pentagonal pyramids, corners with four NiP4 tetrahedra, edges with two equivalent YbP6 octahedra, edges with two equivalent YbP6 pentagonal pyramids, and edges with eight NiP4 tetrahedra. There are two shorter (2.82 Å) and four longer (2.89 Å) Yb–P bond lengths. In the second Yb2+ site, Yb2+ is bonded to six P3- atoms to form distorted YbP6 pentagonal pyramids that share corners with two equivalent YbP6 octahedra, corners with ten NiP4 tetrahedra, an edgeedge with one YbP6 octahedra, edges with six NiP4 tetrahedra, and faces with two equivalent YbP6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 34°. There are a spread of Yb–P bond distances ranging from 2.81–2.85 Å. In the third Yb2+ site, Yb2+ is bonded to six P3- atoms to form distorted YbP6 pentagonal pyramids that share corners with two equivalent YbP6 octahedra, corners with twelve NiP4 tetrahedra, edges with eleven NiP4 tetrahedra, and faces with two equivalent YbP6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 42°. There are two shorter (2.81 Å) and four longer (2.88 Å) Yb–P bond lengths. There are ten inequivalent Ni+1.37+ sites. In the first Ni+1.37+ site, Ni+1.37+ is bonded in a distorted square co-planar geometry to four P3- atoms. There are two shorter (2.29 Å) and two longer (2.40 Å) Ni–P bond lengths. In the second Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six YbP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one YbP6 pentagonal pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.27 Å. In the third Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent YbP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three YbP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are two shorter (2.23 Å) and two longer (2.39 Å) Ni–P bond lengths. In the fourth Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent YbP6 pentagonal pyramids, corners with thirteen NiP4 tetrahedra, edges with three equivalent YbP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.21–2.30 Å. In the fifth Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share a cornercorner with one YbP6 octahedra, corners with two equivalent YbP6 pentagonal pyramids, corners with nine NiP4 tetrahedra, edges with three YbP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Ni–P bond distances ranging from 2.22–2.33 Å. In the sixth Ni+1.37+ site, Ni+1.37+ is bonded in a distorted square co-planar geometry to four P3- atoms. There are two shorter (2.27 Å) and two longer (2.39 Å) Ni–P bond lengths. In the seventh Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with two equivalent YbP6 pentagonal pyramids, corners with nine NiP4 tetrahedra, edges with two equivalent YbP6 octahedra, edges with three YbP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.39 Å. In the eighth Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six YbP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with two equivalent YbP6 octahedra, an edgeedge with one YbP6 pentagonal pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.22–2.37 Å. In the ninth Ni+1.37+ site, Ni+1.37+ is bonded to four P3- atoms to form NiP4 tetrahedra that share a cornercorner with one YbP6 octahedra, corners with two equivalent YbP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three YbP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Ni–P bond distances ranging from 2.23–2.34 Å. In the tenth Ni+1.37+ site, Ni+1.37+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.26–2.57 Å. There are six inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.37+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.37+ atoms. In the third P3- site, P3- is bonded in a 9-coordinate geometry to three Yb2+ and six Ni+1.37+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.37+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to four Yb2+ and five Ni+1.37+ atoms. In the sixth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.37+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr6Ni20P13 by Materials Project

Zr6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Zr2+ sites. In the first Zr2+ site, Zr2+ is bonded to six P3- atoms to form distorted ZrP6 pentagonal pyramids that share corners with four equivalent ZrP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent ZrP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, edges with seven NiP4 tetrahedra, and faces with two equivalent ZrP6 pentagonal pyramids. There are a spread of Zr–P bond distances ranging from 2.78–2.84 Å. In the second Zr2+ site, Zr2+ is bonded to six P3- atoms to form distorted ZrP6 pentagonal pyramids that share corners with four equivalent ZrP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent ZrP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent ZrP6 pentagonal pyramids. There are a spread of Zr–P bond distances ranging from 2.78–2.84 Å. There are eight inequivalent Ni+1.35+ sites. In the first Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six ZrP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with five NiP4 tetrahedra, edges with four ZrP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are one shorter (2.25 Å) and three longer (2.26 Å) Ni–P bond lengths. In the second Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six ZrP6 pentagonal pyramids, a cornercorner with one NiP5 square pyramid, corners with six NiP4 tetrahedra, edges with four ZrP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.23–2.28 Å. In the third Ni+1.35+ site, Ni+1.35+ is bonded to five P3- atoms to form distorted NiP5 square pyramids that share corners with four ZrP6 pentagonal pyramids, corners with four equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one ZrP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.53 Å. In the fourth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four ZrP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one ZrP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.15–2.30 Å. In the fifth Ni+1.35+ site, Ni+1.35+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.15 Å. In the sixth Ni+1.35+ site, Ni+1.35+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.16 Å. In the seventh Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four ZrP6 pentagonal pyramids, corners with three equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, edges with three ZrP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.24–2.29 Å. In the eighth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four ZrP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three ZrP6 pentagonal pyramids, edges with two equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.20–2.33 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Zr2+ and five Ni+1.35+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Zr2+ and five Ni+1.35+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.35+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Zr2+ and seven Ni+1.35+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Zr2+ and seven Ni+1.35+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y6Ni20P13 by Materials Project

Y6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six P3- atoms to form distorted YP6 pentagonal pyramids that share corners with four equivalent YP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent YP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent YP6 pentagonal pyramids. There are a spread of Y–P bond distances ranging from 2.88–2.93 Å. In the second Y3+ site, Y3+ is bonded to six P3- atoms to form distorted YP6 pentagonal pyramids that share corners with four equivalent YP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent YP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, edges with seven NiP4 tetrahedra, and faces with two equivalent YP6 pentagonal pyramids. There are a spread of Y–P bond distances ranging from 2.84–2.92 Å. There are eight inequivalent Ni+1.05+ sites. In the first Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.22 Å. In the second Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.23 Å. In the third Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four YP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one YP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.14–2.35 Å. In the fourth Ni+1.05+ site, Ni+1.05+ is bonded to five P3- atoms to form distorted NiP5 square pyramids that share corners with four YP6 pentagonal pyramids, corners with four equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one YP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.62 Å. In the fifth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six YP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with five NiP4 tetrahedra, edges with four YP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.30 Å. In the sixth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six YP6 pentagonal pyramids, a cornercorner with one NiP5 square pyramid, corners with six NiP4 tetrahedra, edges with four YP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.32 Å. In the seventh Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four YP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three YP6 pentagonal pyramids, edges with two equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.34 Å. In the eighth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four YP6 pentagonal pyramids, corners with three equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, edges with three YP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.33 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Y3+ and five Ni+1.05+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Y3+ and five Ni+1.05+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.05+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Y3+ and seven Ni+1.05+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Y3+ and seven Ni+1.05+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb6Ni20P13 by Materials Project

Yb6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Yb2+ sites. In the first Yb2+ site, Yb2+ is bonded to six P3- atoms to form distorted YbP6 pentagonal pyramids that share corners with four equivalent YbP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent YbP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent YbP6 pentagonal pyramids. There are two shorter (2.88 Å) and four longer (2.91 Å) Yb–P bond lengths. In the second Yb2+ site, Yb2+ is bonded to six P3- atoms to form distorted YbP6 pentagonal pyramids that share corners with four equivalent YbP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent YbP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, edges with seven NiP4 tetrahedra, and faces with two equivalent YbP6 pentagonal pyramids. There are a spread of Yb–P bond distances ranging from 2.84–2.92 Å. There are eight inequivalent Ni+1.35+ sites. In the first Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four YbP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one YbP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.15–2.34 Å. In the second Ni+1.35+ site, Ni+1.35+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.23 Å. In the third Ni+1.35+ site, Ni+1.35+ is bonded to five P3- atoms to form distorted NiP5 square pyramids that share corners with four YbP6 pentagonal pyramids, corners with four equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one YbP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are one shorter (2.26 Å) and four longer (2.55 Å) Ni–P bond lengths. In the fourth Ni+1.35+ site, Ni+1.35+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.22 Å. In the fifth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six YbP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with five NiP4 tetrahedra, edges with four YbP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.28 Å) and one longer (2.30 Å) Ni–P bond lengths. In the sixth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four YbP6 pentagonal pyramids, corners with three equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, edges with three YbP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are three shorter (2.29 Å) and one longer (2.35 Å) Ni–P bond lengths. In the seventh Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six YbP6 pentagonal pyramids, a cornercorner with one NiP5 square pyramid, corners with six NiP4 tetrahedra, edges with four YbP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.30 Å. In the eighth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four YbP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three YbP6 pentagonal pyramids, edges with two equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.32 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Yb2+ and five Ni+1.35+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.35+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.35+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Yb2+ and five Ni+1.35+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Yb2+ and seven Ni+1.35+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ce6Ni20P13 by Materials Project

Ce6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded to six P3- atoms to form distorted CeP6 pentagonal pyramids that share corners with four equivalent CeP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent CeP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent CeP6 pentagonal pyramids. There are a spread of Ce–P bond distances ranging from 2.93–2.99 Å. In the second Ce3+ site, Ce3+ is bonded to six P3- atoms to form distorted CeP6 pentagonal pyramids that share corners with four equivalent CeP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent CeP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, edges with seven NiP4 tetrahedra, and faces with two equivalent CeP6 pentagonal pyramids. There are a spread of Ce–P bond distances ranging from 2.89–2.99 Å. There are eight inequivalent Ni+1.05+ sites. In the first Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four CeP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one CeP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.15–2.37 Å. In the second Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.29 Å. In the third Ni+1.05+ site, Ni+1.05+ is bonded to five P3- atoms to form distorted NiP5 square pyramids that share corners with four CeP6 pentagonal pyramids, corners with four equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, an edgeedge with one CeP6 pentagonal pyramid, edges with four equivalent NiP5 square pyramids, and edges with seven NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.60 Å. In the fourth Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.29 Å. In the fifth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six CeP6 pentagonal pyramids, corners with two equivalent NiP5 square pyramids, corners with five NiP4 tetrahedra, edges with four CeP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.31 Å. In the sixth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four CeP6 pentagonal pyramids, corners with three equivalent NiP5 square pyramids, corners with eight NiP4 tetrahedra, edges with three CeP6 pentagonal pyramids, an edgeedge with one NiP5 square pyramid, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the seventh Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six CeP6 pentagonal pyramids, a cornercorner with one NiP5 square pyramid, corners with six NiP4 tetrahedra, edges with four CeP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the eighth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four CeP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three CeP6 pentagonal pyramids, edges with two equivalent NiP5 square pyramids, and edges with three NiP4 tetrahedra. There are two shorter (2.29 Å) and two longer (2.36 Å) Ni–P bond lengths. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Ce3+ and five Ni+1.05+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Ce3+ and seven Ni+1.05+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.05+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Ce3+ and five Ni+1.05+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Ce3+ and seven Ni+1.05+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Eu6Ni20P13 by Materials Project

Eu6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Eu2+ sites. In the first Eu2+ site, Eu2+ is bonded to six P3- atoms to form distorted EuP6 pentagonal pyramids that share corners with four equivalent EuP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent EuP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent EuP6 pentagonal pyramids. There are two shorter (2.93 Å) and four longer (2.98 Å) Eu–P bond lengths. In the second Eu2+ site, Eu2+ is bonded to six P3- atoms to form distorted EuP6 pentagonal pyramids that share corners with four equivalent EuP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent EuP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent EuP6 pentagonal pyramids. There are a spread of Eu–P bond distances ranging from 2.90–2.99 Å. There are eight inequivalent Ni+1.35+ sites. In the first Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four EuP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one EuP6 pentagonal pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.13–2.38 Å. In the second Ni+1.35+ site, Ni+1.35+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.32 Å. In the third Ni+1.35+ site, Ni+1.35+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.25–2.60 Å. In the fourth Ni+1.35+ site, Ni+1.35+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.31 Å. In the fifth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six EuP6 pentagonal pyramids, corners with five NiP4 tetrahedra, edges with four EuP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are two shorter (2.27 Å) and two longer (2.32 Å) Ni–P bond lengths. In the sixth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four EuP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three EuP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.38 Å. In the seventh Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six EuP6 pentagonal pyramids, corners with six NiP4 tetrahedra, edges with four EuP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the eighth Ni+1.35+ site, Ni+1.35+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four EuP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three EuP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.33 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Eu2+ and five Ni+1.35+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Eu2+ and seven Ni+1.35+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.35+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Eu2+ and five Ni+1.35+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Eu2+ and seven Ni+1.35+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr6Ni20P13 by Materials Project

Pr6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded to six P3- atoms to form distorted PrP6 pentagonal pyramids that share corners with four equivalent PrP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent PrP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent PrP6 pentagonal pyramids. There are a spread of Pr–P bond distances ranging from 2.96–3.02 Å. In the second Pr3+ site, Pr3+ is bonded to six P3- atoms to form distorted PrP6 pentagonal pyramids that share corners with four equivalent PrP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent PrP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent PrP6 pentagonal pyramids. There are two shorter (2.92 Å) and four longer (3.01 Å) Pr–P bond lengths. There are eight inequivalent Ni+1.05+ sites. In the first Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four PrP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one PrP6 pentagonal pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.14–2.40 Å. In the second Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.33 Å. In the third Ni+1.05+ site, Ni+1.05+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.26–2.64 Å. In the fourth Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.33 Å. In the fifth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six PrP6 pentagonal pyramids, corners with five NiP4 tetrahedra, edges with four PrP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.34 Å. In the sixth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four PrP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three PrP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are two shorter (2.31 Å) and two longer (2.38 Å) Ni–P bond lengths. In the seventh Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six PrP6 pentagonal pyramids, corners with six NiP4 tetrahedra, edges with four PrP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.37 Å. In the eighth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four PrP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three PrP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Pr3+ and five Ni+1.05+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Pr3+ and seven Ni+1.05+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.05+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Pr3+ and five Ni+1.05+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Pr3+ and seven Ni+1.05+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ho6Ni20P13 by Materials Project

Ho6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six P3- atoms to form distorted HoP6 pentagonal pyramids that share corners with four equivalent HoP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent HoP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent HoP6 pentagonal pyramids. There are a spread of Ho–P bond distances ranging from 2.85–2.91 Å. In the second Ho3+ site, Ho3+ is bonded to six P3- atoms to form distorted HoP6 pentagonal pyramids that share corners with four equivalent HoP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent HoP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent HoP6 pentagonal pyramids. There are a spread of Ho–P bond distances ranging from 2.82–2.90 Å. There are eight inequivalent Ni+1.05+ sites. In the first Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four HoP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one HoP6 pentagonal pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.14–2.35 Å. In the second Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.21 Å. In the third Ni+1.05+ site, Ni+1.05+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.27–2.58 Å. In the fourth Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.21 Å. In the fifth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six HoP6 pentagonal pyramids, corners with five NiP4 tetrahedra, edges with four HoP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.27–2.29 Å. In the sixth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four HoP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three HoP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.32 Å. In the seventh Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six HoP6 pentagonal pyramids, corners with six NiP4 tetrahedra, edges with four HoP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.24–2.30 Å. In the eighth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four HoP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three HoP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.24–2.35 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Ho3+ and five Ni+1.05+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Ho3+ and seven Ni+1.05+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.05+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Ho3+ and five Ni+1.05+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Ho3+ and seven Ni+1.05+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nd6Ni20P13 by Materials Project

Nd6Ni20P13 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four equivalent NdP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent NdP6 pentagonal pyramids, edges with eight NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.94–3.00 Å. In the second Nd3+ site, Nd3+ is bonded to six P3- atoms to form distorted NdP6 pentagonal pyramids that share corners with four equivalent NdP6 pentagonal pyramids, corners with twelve NiP4 tetrahedra, edges with two equivalent NdP6 pentagonal pyramids, edges with seven NiP4 tetrahedra, and faces with two equivalent NdP6 pentagonal pyramids. There are a spread of Nd–P bond distances ranging from 2.90–2.99 Å. There are eight inequivalent Ni+1.05+ sites. In the first Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with ten NiP4 tetrahedra, an edgeedge with one NdP6 pentagonal pyramid, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.14–2.39 Å. In the second Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.30 Å. In the third Ni+1.05+ site, Ni+1.05+ is bonded in a 5-coordinate geometry to five P3- atoms. There are a spread of Ni–P bond distances ranging from 2.26–2.64 Å. In the fourth Ni+1.05+ site, Ni+1.05+ is bonded in a trigonal planar geometry to three equivalent P3- atoms. All Ni–P bond lengths are 2.29 Å. In the fifth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with five NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are three shorter (2.30 Å) and one longer (2.32 Å) Ni–P bond lengths. In the sixth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with eight NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the seventh Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with six NdP6 pentagonal pyramids, corners with six NiP4 tetrahedra, edges with four NdP6 pentagonal pyramids, and edges with four NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.29–2.34 Å. In the eighth Ni+1.05+ site, Ni+1.05+ is bonded to four P3- atoms to form NiP4 tetrahedra that share corners with four NdP6 pentagonal pyramids, corners with eleven NiP4 tetrahedra, edges with three NdP6 pentagonal pyramids, and edges with three NiP4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.36 Å. There are five inequivalent P3- sites. In the first P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Nd3+ and five Ni+1.05+ atoms. In the second P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Nd3+ and seven Ni+1.05+ atoms. In the third P3- site, P3- is bonded in a 3-coordinate geometry to nine Ni+1.05+ atoms. In the fourth P3- site, P3- is bonded in a 9-coordinate geometry to four equivalent Nd3+ and five Ni+1.05+ atoms. In the fifth P3- site, P3- is bonded in a 9-coordinate geometry to two equivalent Nd3+ and seven Ni+1.05+ atoms.

36 MATERIALS SCIENCE↗